mohit
Newbie level 6
Convex functions
Could anyone comment on the convexity of
f(x,y) = (x^2) * exp
...... i.e. x square into e to the power y.
I did try to find Hessian of the same and the value I get is :
Hessian(x,y) = -2 * x^2 * exp(2y).... which looks <= 0 for all x and y.
I assume this should imply f(x,y) is concave. However when I plot this function using a 3D graph plotter it seems convex .
try
https://www.livephysics.com/ptools/online-3d-function-grapher.php
for plotting function.
I am sure I am making a simple mistake or something.
Any help would be useful.
Could anyone comment on the convexity of
f(x,y) = (x^2) * exp
...... i.e. x square into e to the power y.I did try to find Hessian of the same and the value I get is :
Hessian(x,y) = -2 * x^2 * exp(2y).... which looks <= 0 for all x and y.
I assume this should imply f(x,y) is concave. However when I plot this function using a 3D graph plotter it seems convex .
try
https://www.livephysics.com/ptools/online-3d-function-grapher.php
for plotting function.
I am sure I am making a simple mistake or something.
Any help would be useful.